Oh... I just assumed that a fan would be needed to circulate the air to keep the CO2 in good supply, and the fan would be powered by a thermocoil, which refers to a machine that generates electricity using thermal energy, with two ends of a wire in two different temperatures(not heat covection).

Well, if you're using a pressurized CO2 source, the sheer pressure will push out the CO2. But otherwise, your idea sounds plausible. The fact is I have no idea how we could fit all that on our wrist.